International Journal of New Horizons in Physics
Journal license

Journal

International Journal of New Horizons in Physics


Volume
& Issue

Volume 7, Issue 1


Published
on

January 1, 2020


Pages

25-30


DOI

Article

Autocorrelation of non -Circular Statistical Gaussian Speckle Field

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Authors

M.m. El-Nicklawy Affiliation:
Physics Department, Faculty of Science, Helwan University, Cairo, Egypt.
, A.m. Abd-Rabou* Affiliation:
Physics Department, Faculty of Science, Helwan University, Cairo, Egypt.
, A.e. Elmahdy Affiliation:
Physics Department, Faculty of Science, Helwan University, Cairo, Egypt.
, R.m. El-Agmy Affiliation:
Physics Department, Faculty of Science, Helwan University, Cairo, Egypt.
and N.a. Mansour Affiliation:
Physics Department, Faculty of Science, Helwan University, Cairo, Egypt.


Abstract

Analytical formula for the autocorrelation speckle intensity is derived. The derivation based on the autocorrelation function of the speckle field of non -circular statistics. The autocorrelation function shows its dependence on the lateral correlation length of the roughness, the root mean square of the random roughness heights and also its dependence on the speckles lateral displacement. Experimental validations are carried out through the visibility of interference pattern obtained through mixing two lateral separated speckle patterns. It is investigated for different average roughness heights and for different speckle lateral displacements.


Keywords

Speckle field correlation, non-circular Gaussian distribution, lateral correlation length of rough surface.


Citation

El-Nicklawy, M., Abd-Rabou, A., Elmahdy, A., El-Agmy, R., & Mansour, N. (2020). Autocorrelation of non -circular statistical gaussian speckle field. International Journal of New Horizons in Physics, 7(1), 25–30. https://doi.org/10.18576/ijnhp/070104

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